Finding the Third Proportional to 428.50 and 455.50
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Solution
The third proportional to 428.50 and 455.50 is: 484.20
Step by Step Solution
- Step 1: Write the proportion equation
428.50 : 455.50 = 455.50 : x - Step 2: Convert to fraction form
428.50/455.50 = 455.50/x - Step 3: Cross multiply
428.50x = 455.50 × 455.50 - Step 4: Simplify right side
428.50x = 207,480.25 - Step 5: Solve for x
x = 207,480.25/428.50 - Step 6: Final answer
x = 484.20
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Why These Related Problems?
These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.